Article Contents

2013, Volume 8, Issue 3: 663-684. Doi: 10.3934/nhm.2013.8.663

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A dynamical two-dimensional traffic model in an anisotropic network

1.
Université Paris Est, GRETTIA, Ifsttar, 14-20 boulevard Newton, Cité Descartes Champs sur Marne, 77447 Marne la Vallée Cedex 2
2.
Ifsttar, COSYS-GRETTIA, 14-20 boulevard Newton, Cité Descartes Champs sur Marne, 77447 Marne la Vallée Cedex 2

Received: August 2012

Revised: July 2013

Published: September 2013

Abstract / Introduction Related Papers Cited by

Abstract

The aim of this paper is to build a dynamical traffic model in a dense urban area. The main contribution of this article is to take into account the four possible directions of traffic flows with flow vectors of dimension $4$ and not $2$ as in fluid mechanic on a plan. Traffic flows are viewed as confrontation results between users demands and a travel supply of the network. The model gathers elements of intersection theory and two-dimensional continuum networks.

Keywords:

Mathematics Subject Classification: Primary: 35Q99, 35Q35; Secondary: 91F99.

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